Thermodynamics of a one-dimensional frustrated spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mstyle scriptlevel="1"><mml:mfrac bevelled="false"><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math>Heisenberg ferromagnet

Hartel, Maximilian; Richter, Johannes; Ihle, D.; Drechsler, S.‐L.

doi:10.1103/physrevb.78.174412

Cited by 46 publications

(65 citation statements)

References 42 publications

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“…For J 1 < J c , the spinspin correlation function takes just the constant value of unity, independent of l, and the total spin of the ground state turns out to be S tot = L, signifying that the system is in the ferromagnetic phase. The critical value into the ferromagnetic phase for S = 1 is the same as that in the case of classical spin systems 5 and S = 1/2 spin systems, 31,[33][34][35][36] as pointed out in Ref. 41.…”

Section: Resultssupporting

confidence: 64%

Emergent incommensurate correlations in frustrated ferromagnetic spin-1 chains

Lee

Choi

Jeon³

2017

Phys. Rev. B

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We study the frustrated ferromagnetic spin-1 chains, where the ferromagnetic nearest-neighbor coupling competes with the antiferromagnetic next-nearest-neighbor coupling. We use the density matrix renormalization group to obtain the ground states. Through the analysis of spin-spin correlations we identify the double Haldane phase as well as the ferromagnetic phase. It is shown that the ferromagnetic coupling leads to incommensurate correlations in the double Haldane phase. Such short-range correlations transform continuously into the ferromagnetic instability at the transition to the ferromagnetic phase. We also compare the results with the spin-1/2 and classical spin systems, and discuss the string orders in the system.

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Section: Resultssupporting

confidence: 64%

Emergent incommensurate correlations in frustrated ferromagnetic spin-1 chains

Lee

Choi

Jeon³

2017

Phys. Rev. B

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“…The tuning in SSSA is commonly made via different manipulations with vertex corrections [7,31,35,36,48,49,52,[54][55][56][57][58][59]62] or accounting for complex structure of the Green's function, that is, considering the polarization operator (in particular, accounting for damping of spin excitations) [7,55,56]. All such complications obviously affect the results.…”

Section: Fine Tuning Of the Methodsmentioning

confidence: 99%

“…Note, that for the 1D spin-1/2 Heisenberg ferromagnet it was shown that the RGM reproduces Bethe-ansatz results [37,52].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of the 2D frustrated Heisenberg model for the entire J1–J2 circle

Mikheyenkov

Shvartsberg

Valiulin

et al. 2016

Journal of Magnetism and Magnetic Materials

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Using the spherically symmetric self-consistent Green's function method, we consider thermodynamic properties of the S = 1/2 J 1 -J 2 Heisenberg model on the 2D square lattice. We calculate the temperature dependence of the spin-spin correlation functions c r = S z 0 S z r , the gaps in the spin excitation spectrum, the energy E and the heat capacity C V for the whole J 1 -J 2 -circle, i.e. for arbitrary ϕ, J 1 = cos(ϕ), J 2 = sin(ϕ). Due to low dimension there is no long-range order at T = 0, but the short-range holds the memory of the parent zerotemperature ordered phase (antiferromagnetic, stripe or ferromagnetic). E(ϕ) and C V (ϕ) demonstrate extrema "above" the long-range ordered phases and in the regions of rapid short-range rearranging. Tracts of c r (ϕ) lines have several nodes leading to nonmonotonic c r (T ) dependence. For any fixed ϕ the heat capacity C V (T ) always has maximum, tending to zero at T → 0, in the narrow vicinity of ϕ = 155 • it exhibits an additional frustrationinduced low-temperature maximum. We have also found the nonmonotonic behaviour of the spin gaps at ϕ = 270 • ± 0 and exponentially small antiferromagnetic gap up to (T 0.5) for ϕ 270 • . PACS codes

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“…Increasing α, a phase with incommensurate spin-spin correlations follows a FM phase. The transition occurs at α = 1/4, both in the quantum as well as in the classical model [17,18]. The incommensurate ("spiral") correlations are short ranged in the quantum model [19,20].…”

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confidence: 98%

Crossover from an incommensurate singlet spiral state with a vanishingly small spin gap to a valence-bond solid state in dimerized frustrated ferromagnetic spin chains

et al. 2017

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Motivated by the magnetic properties of the spin-chain compounds LiCuSbO4≡LiSbCuO4 and Rb2Cu2Mo3O12, we study the ground state of the Heisenberg chain with dimerized nearest-neighbor ferromagnetic (FM) (J1, J 1 < 0) and next-nearest-neighbor antiferromagnetic (J2 > 0) couplings. Using the density-matrix renormalization group technique and spin-wave theory we find a first-order transition between a fully-polarized FM and an incommensurate spiral state at 2α = β/(1 + β), where α is the frustration ratio J2/|J1| and β the degree of dimerization J 1 /J1. In the singlet spiral state the spin-gap is vanishingly small in the vicinity of the FM transition, corresponding to a situation of LiCuSbO4. For larger α, corresponding to Rb2Cu2Mo3O12, and smaller β there is a crossover from this frustration induced incommensurate state to an Affleck-Lieb-Kennedy-Tasaki-type valence bond solid state with substantial spin-gaps. Introduction.-The exotic phenomena emerged by magnetic frustration have long been fascinating subjects of research in condensed matter physics [1]. Nowadays, quasi one-dimensional (1D) frustrated systems, despite their simple structure, are at the center of attention as a playground for novel ground states that can emerge from frustration and strong quantum fluctuations due to low dimensionality. So far, various unconventional magnetic states such as quantum spin liquids [2,3], spin-Peierls states [4], and Tomonaga-Luttinger (TL) liquid phases [5] have been investigated. Currently, among the hottest topics are magnetic multipolar and in particular spin-nematic states [6][7][8][9][10][11] in which magnon bound states are formed from a subtle competition between geometrical balance of ferromagnetic (FM) and antiferromagnetic (AFM) correlations among spins.

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Thermodynamics of a one-dimensional frustrated spin-12Heisenberg ferromagnet

Cited by 46 publications

References 42 publications

Emergent incommensurate correlations in frustrated ferromagnetic spin-1 chains

Emergent incommensurate correlations in frustrated ferromagnetic spin-1 chains

Thermodynamic properties of the 2D frustrated Heisenberg model for the entire J1–J2 circle

Crossover from an incommensurate singlet spiral state with a vanishingly small spin gap to a valence-bond solid state in dimerized frustrated ferromagnetic spin chains

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